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" Arrange the terms according to the powers of some letter. Extract the square root of the first term, write the result as the first term of the root, and subtract its square from the polynomial. "
The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful ... - Page 32
by Enoch Lewis - 1826 - 166 pages
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First Course in Algebra

William Benjamin Fite - Algebra - 1913 - 368 pages
...ascending powers of one of its letters. Take a square root of the first term of the polynomial as thf first term of the root, and subtract its square from the given polynomial. Form a first trial divisor by doubling the part of the root already found. Divide the first...
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Brief Course in Algebra

Raymond Earl Manchester - Algebra - 1915 - 216 pages
...as follows: Ex. Vc Arranging the terms in descending order of exponents, a4+4a3+6a2+4a+l Extracting the square root of the first term for the first term of the quotient, Squaring the quotient and subtracting this result from the expression, o*+4a3+6o2+4a+l 4a3+6a2+4a+l...
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Elementary Algebra

George William Myers, George Edward Atwood - Algebra - 1916 - 362 pages
...the polynomial with reference to the powers of some letter. Find the square root of the first term as the first term of the root, and subtract its square from the polynomial. Take twice the root already found for a partial divisor, and divide the first term of the...
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Elementary Algebra

Elmer Adelbert Lyman, Albertus Darnell - Algebra - 1917 - 520 pages
...descending powers of some letter. 2. Take the positive square root of the first term of the polynomial as the first term of the root and subtract its square from the given polynomial. 3. Take twice the part of root already found for the first trial divisor and divide the...
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Complete School Algebra

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1919 - 536 pages
...letter in it. Extract the square root of the first term. Write the result (with plus sign only) as the first term of the root and subtract its square from the given polynomial. Double the root already found for the first trial divisor, divide the first term of the...
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New First Course in Algebra

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1926 - 456 pages
...letter in it. Extract the square root of the first term. Write the result (with plus sign only) as the first term of the root and subtract its square from the given polynomial. Double the root already found for the first trial divisor, divide the first term of the...
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New Elementary Algebra Embracing the First Principles of the Science

Charles Davies - Algebra - 1891 - 312 pages
...more than four terms, we must arrange it with reference to one of its letters ; then find the cube root of the first term for the first term of the root, and subtract its cube from the polynomial. The first term of the remainder will be three times the square of the first...
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